{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW8 - PHYS 3202 Classical Mechanics II Homework#8 Due at...

This preview shows pages 1–2. Sign up to view the full content.

PHYS 3202 Classical Mechanics II - Homework #8 Due at 12:05pm, Friday April 8, 2011 in the class Please show intermediate steps of your calculations. Problem 1 (10 points): Calculate the inertia tensor of a system of four point- like objects with mass m each, connected by rigid massless rods to form a regular tetrahedron ( http://en.wikipedia.org/wiki/Tetrahedron ). The length of each edge is a . The total mass of the system is 4 m . The coordinates of the four masses can be given as (+ a 3 , 0 , - a 2 6 ); ( - a 2 3 , + a 2 , - a 2 6 ); ( - a 2 3 , - a 2 , - a 2 6 ); (0 , 0 , + r 3 8 a ) . You may give calculation details for one diagonal element and one off-diagonal ele- ment of the inertia tensor, and simply list final answers for all remaining 7 elements. Problem 2 (10 points): Which of the following matrices can NOT represent an inertia tensor? Give your reasoning for each. c is a positive constant. c 1 1 0 2 2 0 0 0 2 ; c 1 0 0 0 1 0 0 0 3 ; c 3 4 0 4 5 0 0 0 3 . (1)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

HW8 - PHYS 3202 Classical Mechanics II Homework#8 Due at...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online